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<div><a href="../../index.html">Home</a> &gt;  <a href="#">tt2</a> &gt; <a href="index.html">@tt_matrix</a> &gt; rank.m</div>

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<h1>rank
</h1>

<h2><a name="_name"></a>PURPOSE <a href="#_top"><img alt="^" border="0" src="../../up.png"></a></h2>
<div class="box"><strong>All or individual TT-ranks of a TT-matrix</strong></div>

<h2><a name="_synopsis"></a>SYNOPSIS <a href="#_top"><img alt="^" border="0" src="../../up.png"></a></h2>
<div class="box"><strong>function [r]=rank(a,varargin) </strong></div>

<h2><a name="_description"></a>DESCRIPTION <a href="#_top"><img alt="^" border="0" src="../../up.png"></a></h2>
<div class="fragment"><pre class="comment">All or individual TT-ranks of a TT-matrix
   [R]=RANK(A) Returns all (d+1) ranks of a TT-matrix A
   
   [R]=RANK(A,IND) Return the TT-rank with the index IND


 TT-Toolbox 2.2, 2009-2012

This is TT Toolbox, written by Ivan Oseledets et al.
Institute of Numerical Mathematics, Moscow, Russia
webpage: http://spring.inm.ras.ru/osel

For all questions, bugs and suggestions please mail
ivan.oseledets@gmail.com
---------------------------</pre></div>

<!-- crossreference -->
<h2><a name="_cross"></a>CROSS-REFERENCE INFORMATION <a href="#_top"><img alt="^" border="0" src="../../up.png"></a></h2>
This function calls:
<ul style="list-style-image:url(../../matlabicon.gif)">
<li><a href="../../tt2/@qtt_tucker/rank.html" class="code" title="function [r]=rank(a,varargin)">rank</a>	Computes ranks of the QTT-Tucker tensor</li><li><a href="rank.html" class="code" title="function [r]=rank(a,varargin)">rank</a>	All or individual TT-ranks of a TT-matrix</li><li><a href="../../tt2/@tt_tensor/rank.html" class="code" title="function [r]=rank(a,varargin)">rank</a>	Returns TT-ranks of the given tensor in TT-format</li></ul>
This function is called by:
<ul style="list-style-image:url(../../matlabicon.gif)">
<li><a href="../../tt2/@qtt_tucker/disp.html" class="code" title="function disp(tt,name,varargin)">disp</a>	Command window display of a QTT_TUCKER</li><li><a href="../../tt2/@qtt_tucker/full.html" class="code" title="function [a] = full(tt, sizes)">full</a>	Converts a QTT-Tucker tensor the full tensor</li><li><a href="../../tt2/@qtt_tucker/plus.html" class="code" title="function [a]=plus(b,c)">plus</a>	A=B+C</li><li><a href="../../tt2/@qtt_tucker/round.html" class="code" title="function [tt]=round(tt,varargin)">round</a>	Approximate QTT-Tucker with another one with specified accuracy</li><li><a href="mvk2.html" class="code" title="function [y,swp]=mvk2(a,x,eps,nswp,z,rmax,varargin)">mvk2</a>	Two-sided DMRG fast matrix-by-vector product</li><li><a href="rank.html" class="code" title="function [r]=rank(a,varargin)">rank</a>	All or individual TT-ranks of a TT-matrix</li><li><a href="../../tt2/exp/tt_minres_selfprec2.html" class="code" title="function [X]=tt_minres_selfprec2(A,  eps, varargin)">tt_minres_selfprec2</a>	Computation of the approximate TT-matrix inverse using self-prec method</li></ul>
<!-- crossreference -->



<h2><a name="_source"></a>SOURCE CODE <a href="#_top"><img alt="^" border="0" src="../../up.png"></a></h2>
<div class="fragment"><pre>0001 <a name="_sub0" href="#_subfunctions" class="code">function [r]=rank(a,varargin)</a>
0002 <span class="comment">%All or individual TT-ranks of a TT-matrix</span>
0003 <span class="comment">%   [R]=RANK(A) Returns all (d+1) ranks of a TT-matrix A</span>
0004 <span class="comment">%</span>
0005 <span class="comment">%   [R]=RANK(A,IND) Return the TT-rank with the index IND</span>
0006 <span class="comment">%</span>
0007 <span class="comment">%</span>
0008 <span class="comment">% TT-Toolbox 2.2, 2009-2012</span>
0009 <span class="comment">%</span>
0010 <span class="comment">%This is TT Toolbox, written by Ivan Oseledets et al.</span>
0011 <span class="comment">%Institute of Numerical Mathematics, Moscow, Russia</span>
0012 <span class="comment">%webpage: http://spring.inm.ras.ru/osel</span>
0013 <span class="comment">%</span>
0014 <span class="comment">%For all questions, bugs and suggestions please mail</span>
0015 <span class="comment">%ivan.oseledets@gmail.com</span>
0016 <span class="comment">%---------------------------</span>
0017 <span class="keyword">if</span> (nargin==1)
0018   r=a.tt.r;
0019 <span class="keyword">else</span>
0020   i=varargin{1};
0021   r=<a href="rank.html" class="code" title="function [r]=rank(a,varargin)">rank</a>(a.tt,i);
0022 <span class="keyword">end</span>
0023 <span class="keyword">return</span>
0024 <span class="keyword">end</span></pre></div>
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